# Members & Guests

## Wolfgang Maurer

### Doctoral student

Universität Konstanz

E-mail: wolfgang.maurer(at)uni-konstanz.de
Telephone: +49 7531 88 2861
Homepage: http://www.math.uni-konstanz.de/~maurer/

## Project

29Curvature flows without singularities

## Publications within SPP2026

We consider the long-time behaviour of the mean curvature flow of spacelike hypersurfaces in the Lorentzian product manifold M×R, where M is asymptotically flat. If the initial hypersurface F⊂M×R is uniformly spacelike and asymptotic to M×{s} for some s∈R at infinity, we show that the mean curvature flow starting at F0 exists for all times and converges uniformly to M×{s} as t→∞.

 Journal recently accepted for publication at Journal of Geometric Analysis Link to preprint version

Related project(s):
23Spectral geometry, index theory and geometric flows on singular spaces

• 1